The title. ^^

Currently there is no up-to-date tutorial for Any% (Yes). The best bet right now would be to watch DrTChops' basic guides (https://www.speedrun.com/Dishonored/guide/2ctug) and then look at one of the top 3 runs on the leaderboard.

At first I would just try to get the basic route down and not worry too much about your mana usage. Once you get sub 40 it's a good idea to start looking into the subtleties of where to blink in which way.